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4424768640 = 273351913477
BaseRepresentation
bin1000001111011110…
…01001110010000000
3102102100222112111000
410013233021302000
533030220044030
62011022052000
7214435625055
oct40757116200
912370875430
104424768640
111970737196
12a35a1a000
13556925ac6
142dd92502c
151ad6cc860
hex107bc9c80

4424768640 has 256 divisors, whose sum is σ = 16497072000. Its totient is φ = 1117753344.

The previous prime is 4424768639. The next prime is 4424768669. The reversal of 4424768640 is 468674244.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321582 + ... + 335058.

Almost surely, 24424768640 is an apocalyptic number.

4424768640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248536000).

4424768640 is an abundant number, since it is smaller than the sum of its proper divisors (12072303360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4424768640 is a wasteful number, since it uses less digits than its factorization.

4424768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13524 (or 13506 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The square root of 4424768640 is about 66518.9344472685. The cubic root of 4424768640 is about 1641.7115583706.

The spelling of 4424768640 in words is "four billion, four hundred twenty-four million, seven hundred sixty-eight thousand, six hundred forty".